Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800dm |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-133120000 = -1 · 214 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 3 3 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,100,400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] |
Generators of the group modulo torsion |
j |
10800/13 |
j-invariant |
L |
5.6781062979792 |
L(r)(E,1)/r! |
Ω |
1.2356862841228 |
Real period |
R |
0.76585057374416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800bh1 5200bg1 20800cv1 |
Quadratic twists by: -4 8 5 |